Nonsmooth minimax fractional programming involving η-pseudolinear functions

References

• Ansari , QH and Rezaei , M . Generalized pseudolinearity, Optim. Lett. 6 (2012), pp. 241–251
   Google Scholar
• Ansari , QH , Schaible , S and Yao , JC . 1999 . η-pseudolinearity . Riv. Mat. Sci. Econom. Social. , 22 : 31 – 39 .
   Google Scholar
• Bajona-Xandri , C . 1993 . On fractional programming, Masters Thesis , Spain : Universitat Autonoma de Barcelona .
   Google Scholar
• Barrodale , I . 1973 . Best rational approximation and strict-quasiconvexity . SIAM J. Numer. Anal. , 10 : 8 – 12 .
   Web of Science ®Google Scholar
• Chandra , S and Kumar , V . 1995 . Duality in fractional minimax programming . J. Aus. Math. Soc. (Series A) , 58 : 376 – 386 .
   Google Scholar
• Chew , KL . 1984 . Pseudolinear minimax programming . Pacific. J. Oper. Res. , 1 : 53 – 64 .
   Google Scholar
• Chew , KL and Choo , EV . 1984 . Pseudolinearity and efficiency . Math. Program. , 28 : 226 – 239 .
   Web of Science ®Google Scholar
• Clarke , FH . 1983 . Optimization and Nonsmooth Analysis , New York : John Wiley and Sons .
   Google Scholar
• Liu , JC , Wu , CS and Sheu , RL . 1997 . Duality for fractional minimax programming . Optimization , 41 : 117 – 133 .
   Google Scholar
• Mishra , SK . 1995 . Pseudolinear minimax fractional programming . Indian J. Pure Appl. Math. , 26 : 763 – 772 .
   Web of Science ®Google Scholar
• Mohan , SR and Neogi , SK . 1994 . On invex sets and preinvex functions . J. Math. Anal. Appl. , 189 : 901 – 908 .
   Web of Science ®Google Scholar
• Rueda , NG . 1989 . Generalized convexity in nonlinear programming . J. Inform. Optim. Sci. , 10 : 395 – 400 .
   Google Scholar
• Schmitendorf , WE . 1977 . Necessary conditions and sufficient conditions for static minimax problems . J. Math. Anal. Appl. , 57 : 683 – 693 .
   Web of Science ®Google Scholar
• Schroeder , RG . 1970 . Linear programming solutions to ratio games . Oper. Res. , 18 : 300 – 305 .
   Web of Science ®Google Scholar
• Shimizu , K , Ishizuka , Y and Bard , JF . 1997 . Nondifferentiable and Two-level Mathematical Programming , Boston : Kluwer Academic .
   Google Scholar
• Studniarski , M and Taha , AWA . 2001 . Characterization of strict local minimizers of order one for nonsmooth static minimax problems . J. Math. Anal. Appl. , 259 : 368 – 376 .
   Web of Science ®Google Scholar
• Weir , T . 1992 . Pseudoconvex minimax programming . Util. Math. , 42 : 234 – 240 .
   Web of Science ®Google Scholar
• Yuan , DH , Liu , XL , Chinchuluun , A and Pardalos , PM . 2006 . Nondifferentiable minimax fractional programming problems with (C, α, ρ, d)-convexity . J. Optim. Theory Appl. , 120 : 185 – 199 .
   Web of Science ®Google Scholar
• Zhao , KQ and Tang , LP . On characterizing solution set of non-differentiable η-pseudolinear extremum problem, Optimization, 61 (2012), pp. 239–249
   Google Scholar